Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

Math Formulas > Need to Know > Flashcards

Need to Know Flashcards

1
Q

The Commutative Property

A

a+b=b+a ; ab=ba

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

The Associative Property

A

(a+b) +c = a+(b+c) ; (ab)c = a(bc)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

The Distributive Property

A

a*(b+c) = ab+ac

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

The Commutative and Associative Properties do not work with

A

Subtraction or Division

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Prime Numbers

A

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53 and 59

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Factorization for 21

A

3 and 7 are prime factors

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Greatest Common Factor (GCF) of 56 and 70

A

The factorization of 56 is = 2227
The factorization of 70 is = 257
The two largest numbers in both is 27 = 14

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Least Common Factor (LCF) of 9 and 15

A

The factorization of 9 is = 33
The factorization of 15 is = 35
Multiply the shared primes (3*3) by the unshared primes (5) = 45

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

The absolute value is…

A

The positive form of the number

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

|x| and |-x| are equal to

A

x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

To find some part of a whole use

A

Part Percent
——– = ———–
Whole 100

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Percent Change

A

(Change * 100)
%change = ———————
Original

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Exponent Laws:

A        B   x     *  x       equals
A

(A+B)

x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Exponent Laws:

   A  
X      
---------
   B
X                 equals
A

(A-B)

X

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Exponent Laws:

      B
    A
 X              equals
A

(A*B)

X

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

1 raised to any power is

A

1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

0 raised to any nonzero power is

A

0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Any number raised to the power of 0 is

A

1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Fractions as Exponents:

           1/2
          x       equals
A

__

√ x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Fractions as Exponents:

 2/3    x          equals
A

_____
1 | 2
√ x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

Negative Exponents:

-1
x equals

A

x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

Negative Exponents:

-2
x equals

A

2
x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

A negative number raised to an even power is

A

positive

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

A negative number raised to an odd power is

A

negative

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

Odd/Even Exponents:

  3
x   = 8   means x =
A

2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

Odd/Even Exponents:

 4    x   = 16  means x =
A

2 or it can equal -2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

Simplifying Expressions:

6xy + 5x) - (4xy - 3y

A

You are able to subtract the like variables and keep the other variables the same.

This equals = 2yx+5x+3y

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

Multiply Monomials:

3       2 5y   * 6y    equals
A

5

30y

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

Multiplying Polynomials:

(x+2) (x+7) =

A

Use the FOIL (First, Inner, Outer, Last) Method:

2
x +9x + 14

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

Factoring Using GCF:

3          2  6x   + 12x   +33x =
A

2

3x(2x +4x +11)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
31
Q

Solving Equations:

What you do to one side

A

You must also do to the other.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
32
Q

Eliminating Fractions:

a b
—- * —–
b a is equal to

A

1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
33
Q

Eliminating Fractions:

2
—- x = 8
5

A

Multiply the fraction to make it one. What you do to one side must also be done to the other.

2 5 5 |
—— * —– X = —- 8 | X = 20
5 2 2 |

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
34
Q

Find the Lowest Common Denominator:

3x 1 x
—- + —- = —-
4 2 3

A

The LCD is 12, multiply the top by 12 to get:

36x 12 12x |
——- + ——- = ——– | 9x + 6 = 4x solve for x
4 2 3 |

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
35
Q

Cross Multiplication:

a c
— = —
b d can be written

A

ad = bc

36
Q

Two Variables/Systems of Equations:
SUBSTITUTION METHOD

3x + y = 17 and 2x - 2y = 6

A 
1). Solve for y in one equation
      3x + y = 17   (subtract 3x)
        y = 17 - 3x
2). Input the solution for y into the other problem:
       2x - 2 (17 - 3x) = 6
       2x + 6x - 34 = 6
       8x = 40    divid by 8 | x = 5
37
Q

Two Variables/Systems of Equations:
ELIMINATION METHOD

3x + y = 17 and 2x - 2y = 6

A

1). Line the equations up on-top of each other:
3x + y = 17
2x - 2y = 6
2). My the two “y”s cancel by multiplying by 2:
2(3x + y) = 2(17)
6x + 2y = 34
3). Line the problems up again and solve:
6x + 2y = 34
+ 2x - 2y = 6
8x = 40 | solve for x

38
Q

If two lines intersect what is the sum of the four resulting angles?

A

360

39
Q

Polygon

A

Any figure with three or more sides

40
Q

The total degrees of a polygon:

A

total degrees = 180 (n-2) where n = # of sides

41
Q

The Area of a Triangle

A

1
Area = – b*h
2

42
Q

Special Right Triangle:

45-45-90

A

Leg1 : Leg2 : Hypotenuse

x : x : x√2

43
Q

Special Right Triangle:

30-60-90

A

Leg1 : Leg2 : Hypotenuse

x : x√3 : 2x

44
Q

Pythagorean Triples

A

3 - 4 - 5
5 - 12 - 13
8 - 15 - 17
7 - 24 - 25

45
Q

The Area of Circle

A

2

Area = π*r

46
Q

Circumference of a Circle

A

Circumference = 2πr

47
Q

Arc Length

A

r
Arc Length = ——- 2πr
360

48
Q

Area of a Sector

A

r 2
Area of sector = ——- π*r
360

49
Q

If two inscribed angles hold the same chord…

A

the two inscribed angles are equal

50
Q

A chord is…

A

a line segments between two points on a circle

51
Q

An inscribed angle holding the diameter is…

A

a right angle

52
Q

The Perimeter of a Square

A

perimeter = 4s , where 2 = side

53
Q

The Area of a Square

A

2

area = s

54
Q

The Area of a Rectangle

A

area = L*W

55
Q

The Perimeter of a Rectangle

A

perimeter = 2L+2W

56
Q

The Area of a Trapezoid

A

base1 * base2
area = ———————— x height
2

57
Q

The Volume of a Cube

A

3

volume = s

58
Q

The Surface Area of a Cube

A

2

surface area = 6s

59
Q

The volume of a cube and the surface area of a cube are equal when s (the side length) =

A

6

60
Q

The Area of a Rectangular Solid

A

volume = heightdepthwidth

61
Q

The Surface Area of a Rectangular Solid

A

2HW + 2HW + 2HW

62
Q

The Volume of a Cylinder

A

2

volume = r * π * H

63
Q

The Surface Area of a Cylinder

A

2

surface area = 2πr + 2πr*h

64
Q

The slope of any line can be found

A

by substracting the y values of a pair and dividing it by the difference in the x values:
(y2 - y1)
slope = m =————–
(x2 - x1)

65
Q

To find the y intercept plug in

A

0 for x and solve for y

66
Q

The Distance Formula

A

___________________
√ 2 2
√(x2 - x1) + (y2 - y1)

67
Q

Distance

A

rate
distance = ———-
time

68
Q

Rate

A

distance
rate = ————–
time

69
Q

Time

A

rate
time = ————
distance

70
Q

Average Speed

A

total distance traveled
average speed = ——————————–
total time

71
Q

Work Rate:

OUTPUT

A

output = rate * time

72
Q

Work Rate:

TOTAL WORK

A

1 1 1
————— = —————– + —————–
TotalWork WorkRate1 WorkRate2

73
Q

Simple Interest

A

( RT )
Interest = P ( 1+ —– )
( 100 )
where p is principal, rate, time

74
Q

Compound Interest

A 
nt
                  (         r      )
Interest = P ( 1+ --------- )
                  (       100n  )
where n = the number of time compounded per year.
75
Q

Mean

A

The average of all the numbers: total sum
————-
n

76
Q

Median

A

The middle most value, for even amount of numbers use the average of the two

77
Q

Mode

A

The number that occurs most frequently

78
Q

Weighted Average

A

(proportion)(group A average) + (proportion)(group B average) … etc

79
Q

Range

A

greatest value - least value

80
Q

Standard Deviation

A

_____________________
√ 2 2 2
√ (a-m) + (b-m) + (c-m)
SD =√————————————- etc
√ n

81
Q

Probability that event A will happen:

A

number of outcomes where A occurs
P(A) = ——————————————————-
total number of outcomes

82
Q

The chance that the event does not occur:

A

P(event happens) + P(event does not happen) = 1

83
Q

Mutually Exclusive Events:

A

Events that cannot happen together; P (A and B) = 0

84
Q

Events A and B (if they are independent events):

A

P (A and B) = P(A) * P(B)

85
Q

Events A or B happens or A and B happens:

A

P ( A or B) = P(A) + P(B) - P(A - B)

Math Formulas (1 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2025 Bold Learning Solutions. Terms and Conditions